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svp [43]
2 years ago
5

How do I solve this using the Pythagorean theorem

Mathematics
2 answers:
LUCKY_DIMON [66]2 years ago
4 0
The answer is X=8
15^2+b^2=17^2
Katarina [22]2 years ago
3 0

Answer:

x=8

Step-by-step explanation:

Remember that the variables a and b in the formula are the legs and c is the hypotenuse. So that means that 15 and x are the legs and 17 is the hypotenuse. Plug those numbers where they go in the formula like below:

15^2+x^2=17^2

Go ahead and square the 15 and 17 to simplify it a little.

225+x^2=289

Now, get the x by itself by subtracting 225 from each side

x^2=64

Take the square root of each side to remove the squared on x and solve.

x=8

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A=lw \Rightarrow l=\frac{A}{w}
A - area, l - length, w - width

w=x-2 \\
A=x^3-2x-4 \\ \\
l=\frac{x^3-2x-4}{x-2}=\frac{x^3-2x^2+2x^2-4x+2x-4}{x-2}=\frac{x^2(x-2)+2x(x-2)+2(x-2)}{x-2}= \\
=\frac{(x^2+2x+2)(x-2)}{x-2}=x^2+2x+2

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3 years ago
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M AEB = 37°, what is m CED?
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Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions, can be m
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I need the answer for this exact question
denis23 [38]

Answer:

y=\frac{7}{2}x-20

Step-by-step explanation:

Let the equation of the line be y-y_1=m(x-x_1) where, 'm' is its slope and (x_1,y_1) is a point on it.

Given:

The equation of a known line is:

y=-\frac{2}{7}x+9

A point on the unknown line is:

(x_1,y_1)=(4,-6)

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is m_1=-\frac{2}{7}

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20

The equation of a line perpendicular to the given line and passing through (4, -6) is y=\frac{7}{2}x-20.

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3 years ago
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